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Finding the Third Proportional to 247,842 and 374,085

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Solution

The third proportional to 247,842 and 374,085 is: 564,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,842 : 374,085 = 374,085 : x
  2. Step 2: Convert to fraction form
    247,842/374,085 = 374,085/x
  3. Step 3: Cross multiply
    247,842x = 374,085 × 374,085
  4. Step 4: Simplify right side
    247,842x = 139,939,587,225
  5. Step 5: Solve for x
    x = 139,939,587,225/247,842
  6. Step 6: Final answer
    x = 564,632.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.